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# X is the number of distinct positive divisors of X. What is

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Director
Joined: 14 Oct 2003
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X is the number of distinct positive divisors of X. What is [#permalink]  07 Nov 2005, 15:25
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$X is the number of distinct positive divisors of X. What is the value of $$90? 6 7 8 9 10 Sorry made an edit ($$90 not $$X) _________________ "Wow! Brazil is big." â€”George W. Bush, after being shown a map of Brazil by Brazilian president Luiz Inacio Lula da Silva, Brasilia, Brazil, Nov. 6, 2005 http://www.nytimes.com/2005/11/21/inter ... prexy.html Last edited by Titleist on 07 Nov 2005, 17:43, edited 1 time in total. VP Joined: 22 Aug 2005 Posts: 1123 Location: CA Followers: 1 Kudos [?]: 43 [0], given: 0 [#permalink] 07 Nov 2005, 17:39 aikido_fudoshin wrote: I'll pick 8. 2x2x2? Can you explain how did you solve it? To me this problem looks strange, unless its missing something. Director Joined: 14 Oct 2003 Posts: 588 Location: On Vacation at My Crawford, Texas Ranch Followers: 1 Kudos [?]: 9 [0], given: 0 [#permalink] 07 Nov 2005, 17:44 duttsit wrote: aikido_fudoshin wrote: I'll pick 8. 2x2x2? Can you explain how did you solve it? To me this problem looks strange, unless its missing something. astute as usual my friend - plz see correction. my apologies. _________________ "Wow! Brazil is big." â€”George W. Bush, after being shown a map of Brazil by Brazilian president Luiz Inacio Lula da Silva, Brasilia, Brazil, Nov. 6, 2005 http://www.nytimes.com/2005/11/21/inter ... prexy.html Director Joined: 21 Aug 2005 Posts: 793 Followers: 2 Kudos [?]: 9 [0], given: 0 [#permalink] 07 Nov 2005, 17:47 Titleist wrote: astute as usual my friend - plz see correction. my apologies. Hey, Howdy? I just sometime back. You were taking a test. How did you do? VP Joined: 22 Aug 2005 Posts: 1123 Location: CA Followers: 1 Kudos [?]: 43 [0], given: 0 [#permalink] 07 Nov 2005, 17:56 assumption:$$90 =$ ($90)$90 = 12
$12 = 6 ans: A yeah..what test did you beat? Director Joined: 14 Oct 2003 Posts: 588 Location: On Vacation at My Crawford, Texas Ranch Followers: 1 Kudos [?]: 9 [0], given: 0 [#permalink] 07 Nov 2005, 17:57 gsr wrote: Titleist wrote: astute as usual my friend - plz see correction. my apologies. Hey, Howdy? I just sometime back. You were taking a test. How did you do? I haven't taken it yet. I decided to just work on problems I got wrong and problems I got right for the wrong reasons. You guys (Duttsit and CompanY) should really buy access to the challenge archives (not to sound like an advertisement) - they are great! The problems are pretty tough. Having said that, I completed challenge 7 from the archives on Saturday morning. I got blown away - 70th percentile (compared to the folks that took it during the challenge). So I'm going through the damage now. Unfortunately, I can't post any of the challenges, I just read the sticky asking that people not post challenge materials. I apologize for having had posted some in the past. _________________ "Wow! Brazil is big." â€”George W. Bush, after being shown a map of Brazil by Brazilian president Luiz Inacio Lula da Silva, Brasilia, Brazil, Nov. 6, 2005 http://www.nytimes.com/2005/11/21/inter ... prexy.html Director Joined: 21 Aug 2005 Posts: 793 Followers: 2 Kudos [?]: 9 [0], given: 0 [#permalink] 07 Nov 2005, 17:57 duttsit wrote: yeah..what test did you beat? Hey duttsit, when are you beating the real test? With your skills, you don't need to wait for so long! VP Joined: 22 Aug 2005 Posts: 1123 Location: CA Followers: 1 Kudos [?]: 43 [0], given: 0 [#permalink] 07 Nov 2005, 18:07 gsr wrote: duttsit wrote: yeah..what test did you beat? Hey duttsit, when are you beating the real test? With your skills, you don't need to wait for so long! qsr, thanks for inspiratiom, but Kaplan test i took recently tell otherwise. I got slaughtered (in Titleist term). I need to avoid silly mistakes (reading b/a as a/b, missing positive integer as integer etc etc). Titleist, i never did any challenge. Do you think they are worth practice from the GMAT viewpoint. I heard they are much tougher than what we see in real test even when you scoring high. Director Joined: 14 Oct 2003 Posts: 588 Location: On Vacation at My Crawford, Texas Ranch Followers: 1 Kudos [?]: 9 [0], given: 0 [#permalink] 07 Nov 2005, 18:33 duttsit wrote: gsr wrote: duttsit wrote: yeah..what test did you beat? Hey duttsit, when are you beating the real test? With your skills, you don't need to wait for so long! qsr, thanks for inspiratiom, but Kaplan test i took recently tell otherwise. I got slaughtered (in Titleist term). I need to avoid silly mistakes (reading b/a as a/b, missing positive integer as integer etc etc). Titleist, i never did any challenge. Do you think they are worth practice from the GMAT viewpoint. I heard they are much tougher than what we see in real test even when you scoring high. I definitely think the challenges are worth it. SOme questions are very difficult while other questions I think are quite reasonable. Although Duttsit, I think you'd probably get close to a perfect score on quant section of the real exam. You are probably just better off working on verbal. _________________ "Wow! Brazil is big." â€”George W. Bush, after being shown a map of Brazil by Brazilian president Luiz Inacio Lula da Silva, Brasilia, Brazil, Nov. 6, 2005 http://www.nytimes.com/2005/11/21/inter ... prexy.html Director Joined: 21 Aug 2005 Posts: 793 Followers: 2 Kudos [?]: 9 [0], given: 0 [#permalink] 07 Nov 2005, 18:38 Titleist wrote: I definitely think the challenges are worth it. SOme questions are very difficult while other questions I think are quite reasonable. Although Duttsit, I think you'd probably get close to a perfect score on quant section of the real exam. You are probably just better off working on verbal. I agree that he doesn't need anymore practice on Quant. But, if he goes off to Verbal, who will post the right answers to your questions? Some of them, I wouldn't even go near Director Joined: 14 Oct 2003 Posts: 588 Location: On Vacation at My Crawford, Texas Ranch Followers: 1 Kudos [?]: 9 [0], given: 0 [#permalink] 07 Nov 2005, 18:41 gsr wrote: Titleist wrote: I definitely think the challenges are worth it. SOme questions are very difficult while other questions I think are quite reasonable. Although Duttsit, I think you'd probably get close to a perfect score on quant section of the real exam. You are probably just better off working on verbal. I agree that he doesn't need anymore practice on Quant. But, if he goes off to Verbal, who will post the right answers to your questions? Some of them, I wouldn't even go near Oh no! In no way am I telling him to leave the math section. I need this guy! GSR - you can hold your own! _________________ "Wow! Brazil is big." â€”George W. Bush, after being shown a map of Brazil by Brazilian president Luiz Inacio Lula da Silva, Brasilia, Brazil, Nov. 6, 2005 http://www.nytimes.com/2005/11/21/inter ... prexy.html Current Student Joined: 28 Dec 2004 Posts: 3391 Location: New York City Schools: Wharton'11 HBS'12 Followers: 13 Kudos [?]: 181 [0], given: 2 [#permalink] 08 Nov 2005, 13:57 hey..duttsit, email/pm paret...maybe he can hook you with challenges...you have been a good contribuitor to the forum, so he'll make an exception for you... I also think we should do the chllanges..they are important... Current Student Joined: 28 Dec 2004 Posts: 3391 Location: New York City Schools: Wharton'11 HBS'12 Followers: 13 Kudos [?]: 181 [0], given: 2 [#permalink] 08 Nov 2005, 14:00 is there a shortcut to find how many factors a number has given that we can find out the primes? duttsit wrote: assumption: $$90 = (90) 90 = 12 12 = 6 ans: A yeah..what test did you beat? VP Joined: 22 Aug 2005 Posts: 1123 Location: CA Followers: 1 Kudos [?]: 43 [0], given: 0 [#permalink] 08 Nov 2005, 15:30 fresinha12 wrote: is there a shortcut to find how many factors a number has given that we can find out the primes? duttsit wrote: assumption:$$90 =$ ($90)$90 = 12
\$12 = 6

ans: A

yeah..what test did you beat?

yes. write number into prime number factorization form. if:
x = a^u * b^v * c^z

the total number of factors: (u+1) * (v+1) * (z+1)

for example:
90 = 3^2 * 2 * 5
total number of factors: (2+1) * (1+1) * (1+1) = 12
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